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Finding the Third Proportional to 4,417.03 and 9,614.32

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Solution

The third proportional to 4,417.03 and 9,614.32 is: 20,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.03 : 9,614.32 = 9,614.32 : x
  2. Step 2: Convert to fraction form
    4,417.03/9,614.32 = 9,614.32/x
  3. Step 3: Cross multiply
    4,417.03x = 9,614.32 × 9,614.32
  4. Step 4: Simplify right side
    4,417.03x = 92,435,155.07
  5. Step 5: Solve for x
    x = 92,435,155.07/4,417.03
  6. Step 6: Final answer
    x = 20,926.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.